Taking the kids for their first trip to Washington DC in October. Looking for campgrounds that still allow a reasonable commute to see the sites in DC. Coming from NC, I'd rather stay in VA than drive all the way to MD. I almost always prefer NPS, rural state park, or national forest campgrounds. Electricity not required, but hot showers are required. Looking at Big Meadows in Shenandoah NP, Shenandoah River state park, and Prince William National Forest. Big Meadows seems very popular and a classic NPS experience. I can't seem to find much about the campgrounds in Prince William forest, but the location seems nice. Anyone have experience with any or all of these? Any other recommendations?